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Simplifying 4(x + 5) = 2(x + -10) + -6 Reorder the terms: 4(5 + x) = 2(x + -10) + -6 (5 * 4 + x * 4) = 2(x + -10) + -6 (20 + 4x) = 2(x + -10) + -6 Reorder the terms: 20 + 4x = 2(-10 + x) + -6 20 + 4x = (-10 * 2 + x * 2) + -6 20 + 4x = (-20 + 2x) + -6 Reorder the terms: 20 + 4x = -20 + -6 + 2x Combine like terms: -20 + -6 = -26 20 + 4x = -26 + 2x Solving 20 + 4x = -26 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 20 + 4x + -2x = -26 + 2x + -2x Combine like terms: 4x + -2x = 2x 20 + 2x = -26 + 2x + -2x Combine like terms: 2x + -2x = 0 20 + 2x = -26 + 0 20 + 2x = -26 Add '-20' to each side of the equation. 20 + -20 + 2x = -26 + -20 Combine like terms: 20 + -20 = 0 0 + 2x = -26 + -20 2x = -26 + -20 Combine like terms: -26 + -20 = -46 2x = -46 Divide each side by '2'. x = -23 Simplifying x = -23
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